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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
103.h

\(\chi_{103}(5, \cdot)\)$, \cdots ,$\(\chi_{103}(101, \cdot)\)

$103$ $103$ $102$ $\Q(\zeta_{51})$ odd ✓ ✓
107.d

\(\chi_{107}(2, \cdot)\)$, \cdots ,$\(\chi_{107}(104, \cdot)\)

$107$ $107$ $106$ $\Q(\zeta_{53})$ odd ✓ ✓
109.l

\(\chi_{109}(6, \cdot)\)$, \cdots ,$\(\chi_{109}(103, \cdot)\)

$109$ $109$ $108$ $\Q(\zeta_{108})$ odd ✓ ✓
113.j

\(\chi_{113}(3, \cdot)\)$, \cdots ,$\(\chi_{113}(110, \cdot)\)

$113$ $113$ $112$ $\Q(\zeta_{112})$ odd ✓ ✓
121.h

\(\chi_{121}(2, \cdot)\)$, \cdots ,$\(\chi_{121}(117, \cdot)\)

$121$ $121$ $110$ $\Q(\zeta_{55})$ odd ✓ ✓
127.l

\(\chi_{127}(3, \cdot)\)$, \cdots ,$\(\chi_{127}(118, \cdot)\)

$127$ $127$ $126$ $\Q(\zeta_{63})$ odd ✓ ✓
131.h

\(\chi_{131}(2, \cdot)\)$, \cdots ,$\(\chi_{131}(128, \cdot)\)

$131$ $131$ $130$ $\Q(\zeta_{65})$ odd ✓ ✓
137.h

\(\chi_{137}(3, \cdot)\)$, \cdots ,$\(\chi_{137}(134, \cdot)\)

$137$ $137$ $136$ $\Q(\zeta_{136})$ odd ✓ ✓
139.h

\(\chi_{139}(2, \cdot)\)$, \cdots ,$\(\chi_{139}(135, \cdot)\)

$139$ $139$ $138$ $\Q(\zeta_{69})$ odd ✓ ✓
149.f

\(\chi_{149}(2, \cdot)\)$, \cdots ,$\(\chi_{149}(147, \cdot)\)

$149$ $149$ $148$ $\Q(\zeta_{148})$ odd ✓ ✓
151.l

\(\chi_{151}(6, \cdot)\)$, \cdots ,$\(\chi_{151}(146, \cdot)\)

$151$ $151$ $150$ $\Q(\zeta_{75})$ odd ✓ ✓
157.l

\(\chi_{157}(5, \cdot)\)$, \cdots ,$\(\chi_{157}(152, \cdot)\)

$157$ $157$ $156$ $\Q(\zeta_{156})$ odd ✓ ✓
163.j

\(\chi_{163}(2, \cdot)\)$, \cdots ,$\(\chi_{163}(159, \cdot)\)

$163$ $163$ $162$ $\Q(\zeta_{81})$ odd ✓ ✓
167.d

\(\chi_{167}(5, \cdot)\)$, \cdots ,$\(\chi_{167}(165, \cdot)\)

$167$ $167$ $166$ $\Q(\zeta_{83})$ odd ✓ ✓
169.l

\(\chi_{169}(2, \cdot)\)$, \cdots ,$\(\chi_{169}(167, \cdot)\)

$169$ $169$ $156$ $\Q(\zeta_{156})$ odd ✓ ✓
173.f

\(\chi_{173}(2, \cdot)\)$, \cdots ,$\(\chi_{173}(171, \cdot)\)

$173$ $173$ $172$ $\Q(\zeta_{172})$ odd ✓ ✓
179.d

\(\chi_{179}(2, \cdot)\)$, \cdots ,$\(\chi_{179}(176, \cdot)\)

$179$ $179$ $178$ $\Q(\zeta_{89})$ odd ✓ ✓
181.r

\(\chi_{181}(2, \cdot)\)$, \cdots ,$\(\chi_{181}(179, \cdot)\)

$181$ $181$ $180$ $\Q(\zeta_{180})$ odd ✓ ✓
191.h

\(\chi_{191}(19, \cdot)\)$, \cdots ,$\(\chi_{191}(189, \cdot)\)

$191$ $191$ $190$ $\Q(\zeta_{95})$ odd ✓ ✓
193.n

\(\chi_{193}(5, \cdot)\)$, \cdots ,$\(\chi_{193}(188, \cdot)\)

$193$ $193$ $192$ $\Q(\zeta_{192})$ odd ✓ ✓
197.i

\(\chi_{197}(2, \cdot)\)$, \cdots ,$\(\chi_{197}(195, \cdot)\)

$197$ $197$ $196$ $\Q(\zeta_{196})$ odd ✓ ✓
199.l

\(\chi_{199}(3, \cdot)\)$, \cdots ,$\(\chi_{199}(197, \cdot)\)

$199$ $199$ $198$ $\Q(\zeta_{99})$ odd ✓ ✓
206.h

\(\chi_{206}(5, \cdot)\)$, \cdots ,$\(\chi_{206}(199, \cdot)\)

$206$ $103$ $102$ $\Q(\zeta_{51})$ odd ✓
211.o

\(\chi_{211}(4, \cdot)\)$, \cdots ,$\(\chi_{211}(209, \cdot)\)

$211$ $211$ $105$ $\Q(\zeta_{105})$ even ✓ ✓
211.p

\(\chi_{211}(2, \cdot)\)$, \cdots ,$\(\chi_{211}(207, \cdot)\)

$211$ $211$ $210$ $\Q(\zeta_{105})$ odd ✓ ✓
214.d

\(\chi_{214}(5, \cdot)\)$, \cdots ,$\(\chi_{214}(211, \cdot)\)

$214$ $107$ $106$ $\Q(\zeta_{53})$ odd ✓
218.l

\(\chi_{218}(11, \cdot)\)$, \cdots ,$\(\chi_{218}(207, \cdot)\)

$218$ $109$ $108$ $\Q(\zeta_{108})$ odd ✓
223.g

\(\chi_{223}(9, \cdot)\)$, \cdots ,$\(\chi_{223}(220, \cdot)\)

$223$ $223$ $111$ $\Q(\zeta_{111})$ even ✓ ✓
223.h

\(\chi_{223}(3, \cdot)\)$, \cdots ,$\(\chi_{223}(214, \cdot)\)

$223$ $223$ $222$ $\Q(\zeta_{111})$ odd ✓ ✓
226.j

\(\chi_{226}(3, \cdot)\)$, \cdots ,$\(\chi_{226}(223, \cdot)\)

$226$ $113$ $112$ $\Q(\zeta_{112})$ odd ✓
227.c

\(\chi_{227}(3, \cdot)\)$, \cdots ,$\(\chi_{227}(225, \cdot)\)

$227$ $227$ $113$ $\Q(\zeta_{113})$ even ✓ ✓
227.d

\(\chi_{227}(2, \cdot)\)$, \cdots ,$\(\chi_{227}(224, \cdot)\)

$227$ $227$ $226$ $\Q(\zeta_{113})$ odd ✓ ✓
229.k

\(\chi_{229}(5, \cdot)\)$, \cdots ,$\(\chi_{229}(226, \cdot)\)

$229$ $229$ $114$ $\Q(\zeta_{57})$ even ✓ ✓
229.l

\(\chi_{229}(6, \cdot)\)$, \cdots ,$\(\chi_{229}(223, \cdot)\)

$229$ $229$ $228$ $\Q(\zeta_{228})$ odd ✓ ✓
233.g

\(\chi_{233}(7, \cdot)\)$, \cdots ,$\(\chi_{233}(226, \cdot)\)

$233$ $233$ $116$ $\Q(\zeta_{116})$ even ✓ ✓
233.h

\(\chi_{233}(3, \cdot)\)$, \cdots ,$\(\chi_{233}(230, \cdot)\)

$233$ $233$ $232$ $\Q(\zeta_{232})$ odd ✓ ✓
239.g

\(\chi_{239}(2, \cdot)\)$, \cdots ,$\(\chi_{239}(232, \cdot)\)

$239$ $239$ $119$ $\Q(\zeta_{119})$ even ✓ ✓
239.h

\(\chi_{239}(7, \cdot)\)$, \cdots ,$\(\chi_{239}(237, \cdot)\)

$239$ $239$ $238$ $\Q(\zeta_{119})$ odd ✓ ✓
241.s

\(\chi_{241}(3, \cdot)\)$, \cdots ,$\(\chi_{241}(238, \cdot)\)

$241$ $241$ $120$ $\Q(\zeta_{120})$ even ✓ ✓
241.t

\(\chi_{241}(7, \cdot)\)$, \cdots ,$\(\chi_{241}(234, \cdot)\)

$241$ $241$ $240$ $\Q(\zeta_{240})$ odd ✓ ✓
242.h

\(\chi_{242}(7, \cdot)\)$, \cdots ,$\(\chi_{242}(237, \cdot)\)

$242$ $121$ $110$ $\Q(\zeta_{55})$ odd ✓
243.j

\(\chi_{243}(2, \cdot)\)$, \cdots ,$\(\chi_{243}(239, \cdot)\)

$243$ $243$ $162$ $\Q(\zeta_{81})$ odd ✓ ✓
251.g

\(\chi_{251}(3, \cdot)\)$, \cdots ,$\(\chi_{251}(245, \cdot)\)

$251$ $251$ $125$ $\Q(\zeta_{125})$ even ✓ ✓
251.h

\(\chi_{251}(6, \cdot)\)$, \cdots ,$\(\chi_{251}(248, \cdot)\)

$251$ $251$ $250$ $\Q(\zeta_{125})$ odd ✓ ✓
253.n

\(\chi_{253}(7, \cdot)\)$, \cdots ,$\(\chi_{253}(250, \cdot)\)

$253$ $253$ $110$ $\Q(\zeta_{55})$ even ✓ ✓
253.o

\(\chi_{253}(2, \cdot)\)$, \cdots ,$\(\chi_{253}(248, \cdot)\)

$253$ $253$ $110$ $\Q(\zeta_{55})$ odd ✓ ✓
253.p

\(\chi_{253}(5, \cdot)\)$, \cdots ,$\(\chi_{253}(251, \cdot)\)

$253$ $253$ $110$ $\Q(\zeta_{55})$ odd ✓ ✓
254.l

\(\chi_{254}(3, \cdot)\)$, \cdots ,$\(\chi_{254}(245, \cdot)\)

$254$ $127$ $126$ $\Q(\zeta_{63})$ odd ✓
257.h

\(\chi_{257}(9, \cdot)\)$, \cdots ,$\(\chi_{257}(248, \cdot)\)

$257$ $257$ $128$ $\Q(\zeta_{128})$ even ✓ ✓
257.i

\(\chi_{257}(3, \cdot)\)$, \cdots ,$\(\chi_{257}(254, \cdot)\)

$257$ $257$ $256$ $\Q(\zeta_{256})$ odd ✓ ✓
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